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Stationary waves in a laboratory flume

Published online by Cambridge University Press:  20 April 2006

P. McIver
P. McIver
Affiliation:
School of Mathematics, University of Bristol, England
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Abstract

The formation of stationary waves in a laboratory flume is described, and possible mechanisms for their production discussed. In particular, an investigation is made of waves on supercritical streams. The mechanism for creating such waves involves frictional action through the boundary layers and an approximate equation describing this process is presented and shown to give qualitative agreement with observation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 119 , June 1982 , pp. 283 - 296
Copyright
© 1982 Cambridge University Press

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References

Benjamin, T. B. & Lighthill, M. J. 1954 On cnoidal waves and bores. Proc. R. Soc. Lond. A 224, 448–460.Google Scholar
Binnie, A. M., Davies, P. O. A. L. & Orkney, J. C. 1955 Experiments on the flow of water from a reservoir through an open horizontal channel. I. The production of a uniform stream. Proc. R. Soc. Lond. A 230, 225–236.Google Scholar
Binnie, A. M. & Orkney, J. C. 1955 Experiments on the flow of water from a reservoir through an open horizontal channel. II. The formation of hydraulic jumps. Proc. R. Soc. Lond. A 230, 237–246.Google Scholar
Bryer, D. W. & Pankhurst, R. C. 1971 Pressure Probe Methods for determining Wind Speed and Flow Direction. London: H.M.S.O.
Cokelet, E. D. 1977 Steep gravity waves in water of arbitrary uniform depth. Phil. Trans. R. Soc. Lond. A 286, 183–230.Google Scholar
Daily, J. W. & Stephen, S. C. 1952 The solitary wave. Its celerity, profile, internal velocities and amplitude attenuation in a horizontal smooth channel. In Proc. 3rd Conf. Coastal Engng, pp. 13–30. A.S.C.E.
De, S. C. 1955 Contributions to the theory of Stokes waves. Proc. Camb. Phil. Soc. 51, 713–736.Google Scholar
Fenton, J. 1972 A ninth-order solution for the solitary wave. J. Fluid Mech. 53, 257–271.Google Scholar
Longuet-Higgins, M. S. 1975 Integral properties of periodic gravity waves of finite amplitude. Proc. R. Soc. Lond. A 342, 157–174.Google Scholar
Longuet-Higgins, M. S. & Fenton, J. D. 1974 On the mass, momentum, energy and circulation of a solitary wave. II. Proc. R. Soc. A 340, 471–493.Google Scholar
Mciver, P. 1981 Stationary waves in open channels. Ph.D. thesis, University of Liverpool.
Schlichting, H. 1960 Boundary Layer Theory, 4th ed. McGraw-Hill.
Sturtevant, B. 1965 Implications of experiments on the weak undular bore. Phys. Fluids 8, 1052–1055.Google Scholar
Whitham, G. B. 1974 Linear and Non-Linear Waves. Wiley.
Wiegel, R. L. 1960 A presentation of cnoidal wave theory for practical application. J. Fluid Mech. 7, 273–286.Google Scholar